@Article{EE.2020.011237,
AUTHOR = {T. Ahmed, S. Hassan, M. F. Hasan, M. M. Molla, M. A. Taher, S. C. Saha},
TITLE = {Lattice Boltzmann Simulation of Magnetic Field Effect on Electrically Conducting Fluid at Inclined Angles in Rayleigh-Bénard Convection},
JOURNAL = {Energy Engineering},
VOLUME = {118},
YEAR = {2021},
NUMBER = {1},
PAGES = {15--36},
URL = {http://www.techscience.com/energy/v118n1/40566},
ISSN = {1546-0118},
ABSTRACT = {The magneto-hydrodynamics (MHD) effect is studied at different
inclined angles in Rayleigh-Bénard (RB) convection inside a rectangular enclosure using the lattice Boltzmann method (LBM). The enclosure is filled with electrically conducting fluids of different characteristics. These characteristics are
defined by Prandtl number, Pr. The considered Pr values for this study are 10
and 70. The influence of other dimensionless parameters Rayleigh numbers
<i>Ra</i> = 10<sup>3</sup>; 10<sup>4</sup>; 10<sup>5</sup>; 10<sup>6</sup> and Hartmann numbers <i>Ha</i> = <i>0</i>, <i>10</i>, <i>25</i>, <i>50</i>, <i>100</i>, on
fluid flow and heat transfer, are also investigated considering different inclined
angles <i>φ</i> of magnetic field by analyzing computed local Nusselt numbers and
average Nusselt numbers. The results of the study show the undoubted prediction
capability of LBM for the current problem. The simulated results demonstrate that
the augmentation in heat transfer is directly related to <i>Ra</i> values, but it is opposite
while observing the characteristics of <i>Ha</i> values. However, it is also found that <i>φ</i>
has a significant impact on heat transfer for different fluids. Besides, isotherms are
found to be always parallel to the horizontal axis at <i>Ra</i> = 10<sup>3</sup> as conduction overcomes the convection in the heat transfer, but this behaviour is not seen at
<i>Ra</i> = 10<sup>4</sup> when <i>Ha</i> ≥ 25. Furthermore, at <i>Ra</i> = 10<sup>6</sup>, oscillatory instability
appears but LBM is still able to provide a complete map of this predicted behavior. An appropriate validation with previous numerical studies demonstrates the
accuracy of the present approach.},
DOI = {10.32604/EE.2020.011237}
}